Yes, I can agree with that. However, I just can't get over how Talia is in charge with Bane?

Well maybe she's the rightful heir.

I imagine she turned away from the League and left (due to Ra's treatment of Bane). I don't think the League cast her out, which seems to be what you're thinking. She turned away from league, they didn't turn away from her, banishing her, never to return or whatever.

And when Ra's died, she felt the need to come back, exact vengeance, etc. They welcomed her back. Simple.